SOLUTION: The sum of two numbers is 54 and their defference is 18.What is the product of the numbers?

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Question 947951: The sum of two numbers is 54 and their defference is 18.What is the product of the numbers?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Let X=one number, Y=the other number
X+Y=54
X-Y=18 Subtract Y from each side
X=Y+18 Substitute for X in first equation
(Y+18)+Y=54 Subtract 18 from each side
2Y=36 Divide each side by 2
Y=18
If X=Y+18,(equation above)
X=18+18=36
X=36 and Y=18, so:
X*Y=36*18=648 ANSWER: The product of the two numbers is 648.
CHECK
Sum=54
X+Y=54
36+18=54
54=54
Difference=18
X-Y=18
36-18=18
18=18